I just had a brainwave about this one today... Perhaps "the meaning was twofold" refers to the title of the song. When he sings it, you could interpret it 2 different ways:
"I'm indefinitely", meaning unsure, uncertain, or
"I'm in, definitely" meaning that I'm definitely "in", or interested. Two completely contradictory meanings (ie. "twofold")from the same group of letters, just arranged a little differently.
As for Mediterranean, maybe he was just referring to a decor style, trying to "date" the story.